In this node I posted some code to compute a one-tailed Fisher's Exact test, which uses a hypergeometric distribution. The implementation uses Math::Pari.

BTW, do you really mean "the odds"? Or do you want the probability p? If the latter is the case, then this probability is equivalent to the P-value obtained from the one-tailed Fisher's Exact test computed with the code referred to above. (The odds are (1– p)/p.)

the lowliest monk

In reply to Re: Fastest way to calculate hypergeometric distribution probabilities (i.e. BIG factorials)? by tlm
in thread Fastest way to calculate hypergeometric distribution probabilities (i.e. BIG factorials)? by Commander Salamander

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